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4. (30 points) A manufacturer of chocolate candies uses machines to package candies as they move
along a filling line. Although the packages are labeled as 8 ounces, the company wants the
packages to contain a mean of 8.17 ounces so that virtually none of the packages contain less than
8 ounces. A sample of 20 packages is selected periodically, and the packaging process is stopped if
there is evidence that the mean amount packaged is different from 8.17 ounces. Suppose that in a
particular sample of 20 packages, the mean amount dispensed is 8.15 ounces, with a sample
standard deviation of 0.046 ounce. Is there evidence that the population mean amount is different
from 8.17 ounces?